It could easily be scope, rings, or base's. With a centerpoint scope thats the first place I would look.
I've tried a couple of different scopes on mine. I'm relatively certain mine isn't a glass issue. I've moved the questionable glass to other rifles with no issues, and put good glass on the bad 597. You can't get good groups with a 20lb trigger. When I replace the hammer, I'll let you know how it turns out.
While there is no way I'll even consider arguing your point there is also no way I am that bad at shooting (even with the heavy trigger).
Cross hairs on target, (B.R.A.S.S), bullet hits 1.5 inches low and to the right, cross hairs still on target. Second shot; Cross hairs still on target, (B.R.A.S.S), bullet hits 1 inch high and to the right, cross hairs still on target. ...you get the idea. I'm actually watching the bullet hit at a different location from the cross hairs.
I'm thinking optics or bad rifle...
While there is no way I'll even consider arguing your point there is also no way I am that bad at shooting (even with the heavy trigger).
Cross hairs on target, (B.R.A.S.S), bullet hits 1.5 inches low and to the right, cross hairs still on target. Second shot; Cross hairs still on target, (B.R.A.S.S), bullet hits 1 inch high and to the right, cross hairs still on target. ...you get the idea. I'm actually watching the bullet hit at a different location from the cross hairs.
I'm thinking optics or bad rifle...
I bet your scope was previously used on your 10/22 before being mounted on your 597. 10/22's are scope killers and your scope has a busted reticle. Put it on your 10/22 and you will have the same problem chasing your zero around.
if not, your scope was broken from day one.
I will say this, I had one that I never could get right...... I sold it for $150 and never looked back. I am not much of a rifle man but i get the general idea of how to zero a scope and I think the gun was just junk. Wish I knew about this website 8 years ago!
A scope is much much more likely to be the culprit than a gun. Think about how precise and finicky a scope is vs a gun. Also rings and base are the most commonly overlooked piece of the puzzle. Everything that makes a scope accurate is protected by aluminium. Everything that makes a gun accurate is protected by steel (usually steel) rings and a base are just handing out there by themselves.
...there is no problem with a 597
News Flash! Gun companies generally won't accept a gun for warranty work when the complaint is that it doesn't shoot as accurately as it should. There are exceptions, especially with high quality target guns. The reason is that way too much depends on the skill of the shooter and ammunition used.
Start with the scope. replace it with one of known quality. I'll assume you tighten rings and bases when you install the scope.
2nd, look closely at the crown. Run a q-tip around the muzzle and see if it catches fibers. Last place the bullet touches the bore must be as perfect as possible.
3rd, try adjusting torque on the action screws. To do this with any repeatability you'll need an in/lb torque driver that reads to about 30 in/lbs.